Affine Kac–Moody algebras graded by affine root systems
نویسندگان
چکیده
منابع مشابه
The Centroid of Extended Affine and Root Graded Lie Algebras
We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie algebras graded by finite root systems.
متن کاملExtended Affine Root Systems
There are two notions of the extended affine root systems in the literature which both are introduced axiomatically. One, extended affine root system (SAERS for short), consists only of nonisotropic roots, while the other, extended affine root system (EARS for short), contains certain isotropic roots too. We show that there is a one to one correspondence between (reduced) SEARSs and EARSs. Name...
متن کامل`-restricted Q-systems and quantum affine algebras
Kuniba, Nakanishi, and Suzuki (1994) have formulated a general conjecture expressing the positive solution of an `-restricted Q-system in terms of quantum dimensions of Kirillov-Reshetikhin modules. After presenting this conjecture, we sketch a proof for the exceptional type E6 following our preprint (2013). In types E7 and E8, we prove positivity for a subset of the nodes of the Dynkin diagram...
متن کاملRealization of locally extended affine Lie algebras of type $A_1$
Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...
متن کاملCentral Elements for Quantum Affine Algebras and Affine Macdonald’s Operators
We describe a generalization of Drinfeld’s description of the center of a quantum group to the case of quantum affine algebras. We use the obtained central elements to construct the affine analogue of Macdonald’s difference operators. 1. The center of Uq(g), where g is a simple Lie algebra. 1.1. Let g be a simple Lie algebra over C of rank r. Let h be a Cartan subalgebra in g. Let W be the Weyl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2002
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00053-4